13412122121431 has 16 divisors (see below), whose sum is σ = 15136668269856. Its totient is φ = 11777675200000.

The previous prime is 13412122121417. The next prime is 13412122121449.

13412122121431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13412122121431 - 2¹³ = 13412122113239 is a prime.

It is a super-2 number, since 2×13412122121431² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13412122121431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13412122121231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147175390 + ... + 147266491.

It is an arithmetic number, because the mean of its divisors is an integer number (946041766866).

Almost surely, 2^{13412122121431} is an apocalyptic number.

13412122121431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13412122121431 is a deficient number, since it is larger than the sum of its proper divisors (1724546148425).

13412122121431 is a wasteful number, since it uses less digits than its factorization.

13412122121431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294442034.

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 1341212 and 2121431, that added together give a palindrome (3462643).

The spelling of 13412122121431 in words is "thirteen trillion, four hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, four hundred thirty-one".